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Every complete atomic Boolean algebra is the ideal lattice of a cBCK-algebra
Given a complete atomic Boolean algebra, we show there is a commutative BCK-algebra whose ideal lattice is that Boolean algebra. This result is shown...
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Classification of simple bounded weight modules of the Lie algebra of vector fields on ℂn
Let W
n + be the Lie algebra of vector fields on ℂ n . In this paper, we classify all simple bounded weight modules. Any such module is isomorphic to... -
A Jordan Algebra of a Mal’tsev Algebra
This paper is devoted to the generalization of the construction of a Jordan algebra of a Lie algebra and the known theorems on the local...
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Whittaker Modules over the N = 2 Super-BMS3 Algebra
This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS 3 algebra. We provide a...
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The algebra of symmetric tensors on smooth projective varieties
In this paper, we discuss the ℂ-algebra H 0 ( X , S• T X ) for a smooth complex projective variety X . We compute it in some simple examples, and give a...
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On Simple Finite-Dimensional Algebras with Infinite Basis of Identities
AbstractIn 1993, I. P. Shestakov posed the question of the existence of a central simple finite-dimensional algebra over a field of characteristic...
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Algebra
The language of spectral theory is algebra, so we should begin with some kind of dictionary.
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Geometric Algebra and Quaternion Techniques in Computer Algebra Systems for Describing Rotations in Eucledean Space
AbstractTensor formalism (and its special case—vector formalism) is a mathematical technique that is widely used in physical and engineering...
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Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity
In this article the quantized matrix algebras as in the title have been studied at a root of unity. A full classification of simple modules over such...
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Introduction to Geometric Algebra
Geometric algebra was initiated by W.K. Clifford over 140 years ago. It unifies all branches of physics, and has found rich applications in robotics,...
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Local and 2-Local Derivations of Locally Simple Lie Algebras
In the present paper we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and...
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Defining an Affine Partition Algebra
We define an affine partition algebra by generators and relations and prove a variety of basic results regarding this new algebra analogous to those...
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On simple-minded systems over domestic Brauer graph algebras
Let A be a domestic Brauer graph algebra over an algebraically closed field. We present a practical criterion for an orthogonal system in the stable...
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Symplectic Linear Algebra
A symplectic structure on a smooth manifold is defined by assigning a symplectic form to the tangent space at each point of the manifold, with...